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11230341120 = 211335151269
BaseRepresentation
bin10100111010110000…
…10110100000000000
31001222122212102212000
422131120112200000
5140444431403440
65054213104000
7545204216205
oct123530264000
931878772760
1011230341120
114843264559
122215028000
13109c875c7b
1478770dcac
1545addd730
hex29d616800

11230341120 has 384 divisors, whose sum is σ = 40334112000. Its totient is φ = 2963865600.

The previous prime is 11230341071. The next prime is 11230341127. The reversal of 11230341120 is 2114303211.

11230341120 is a `hidden beast` number, since 1 + 1 + 230 + 3 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112303411202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11230341093 and 11230341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230341127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41748346 + ... + 41748614.

It is an arithmetic number, because the mean of its divisors is an integer number (105036750).

Almost surely, 211230341120 is an apocalyptic number.

11230341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056000).

11230341120 is an abundant number, since it is smaller than the sum of its proper divisors (29103770880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11230341120 is a wasteful number, since it uses less digits than its factorization.

11230341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11230341120 its reverse (2114303211), we get a palindrome (13344644331).

The spelling of 11230341120 in words is "eleven billion, two hundred thirty million, three hundred forty-one thousand, one hundred twenty".